1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kobotan [32]
3 years ago
8

A store is having a sale where school supplies are 30% off their original price. A backpack is on sale for $11.20. What was the

original price for the backpack?
Mathematics
1 answer:
Mrac [35]3 years ago
7 0
To find the original price, you could use a variable to represent the original price in this equation;

Let p represent the original price

.70 × p=11.20

to solve this, we'd isolate the variable (p) 

p=11.20 ÷.70

p=16

The original price was $16
You might be interested in
Just answer plz no step-by-step
adell [148]

Answer:

32

Step-by-step explanation:

❂Hello there❂

❉Basically the answer is 32

❉ If you change your mind and need a method just ask :)

❉Zervi

5 0
3 years ago
1) There are about 20 million people in New York State, with a total land area of about 47,000 square miles.
Nata [24]

Step-by-step explanation:

B. 426 people per square. mile

5 0
2 years ago
45% of $360 is what as a quantity
Bess [88]
I'm assuming you want to know what 45% of 360 is.....

so you multiply 360 by 0.45 (since 45 is a percent, and to revert it back, you must move the decimal 2 times to the left) and you have your answer...
5 0
3 years ago
The sum of three numbers is 8. The third is 9
Ierofanga [76]

Answer:

→<u> </u><u>First</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>1</u>

→<u> </u><u>Second</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>2</u>

→<u> </u><u>Third</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>5</u>

Step-by-step explanation:

• let numbers be x, y and z

{ \tt{z = 8y - 9 -  -  - (eqn \: 1)}} \\  \\ { \tt{10x = 8y - 7 -  -  - (eqn \: 2)}} \\  \\ { \tt{x + y + z = 8 -  -  - (eqn \: 3)}}

• from eqn 2, make x the subject:

{ \tt{x =  \frac{8y - 7}{10} }} \\

• substitute all variables in eqn 3:

{ \tt{ \frac{8y - 7}{10}  + y + 8y - 9 = 8}} \\  \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\  \\ { \tt{98y = 177}} \\  \\ { \boxed{ \tt{ \: y = 1.8}}}

• find z

{ \tt{z = 8y - 9}} \\  \\ { \tt{z = 8(1.8) - 9}} \\  \\ { \tt{z = 14.4 - 9}} \\  \\ { \boxed{ \tt{ \: z = 5.4 \: }}}

• find x:

{ \tt{x =  \frac{8(1.8) - 7}{10} }} \\  \\ { \tt{x =  \frac{7.4}{10} }} \\  \\ { \boxed{ \tt{ \: x = 0.74 \: }}}

Rounding to nearest value:

{ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{  \rm{z = 5}}}

7 0
2 years ago
Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.
DedPeter [7]

Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

|E \cup F| = |E| + |F| - |E \cap F|

Also,

|E| = |E ∩F| + |E∩F^c|

We now alredy the following:

|A| = 89

|B| = 99

|C| = 74

|A \cap B \cap C| = 5

|(A \cup B \cup C)^c| = 24

|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).

|B \ (AUC)| = 65

|C \ (AUB)| = 26

|B \cap C| = 11

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

For example:

99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.

This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.

3 0
3 years ago
Other questions:
  • What is this angle ?
    10·1 answer
  • -3x-3y=3<br> 5x+y=-17 <br> Substitution <br> What does x and what does y equal
    15·2 answers
  • How do you do this:
    8·2 answers
  • What is the solution to the equation 30.16 = 17.56 + 5x
    7·1 answer
  • Plz help I’m being timed!!!!
    12·1 answer
  • To the nearest unit, what is the perimeter of this pentagon?
    15·1 answer
  • Geometry please help
    14·1 answer
  • With Company A, you can take a 2.25 hour helicopter ride for $ 270.
    7·2 answers
  • 133=7(1+2x) solve<br> Answer ASAP please
    14·2 answers
  • 7 Lanza is a gardener.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!